{ "schema_version": 1, "kind": "ConceptView", "producer": "concept-view-1", "concept_id": "urn:uuid:d550361c-735c-491e-afba-556b6f658c73", "labels": { "zh-CN": "塞曼效应", "en": "Zeeman effect" }, "alternative_labels": [], "scope_note": "", "identity_status": "active", "identity_revision": "fa4f4cd0b76493217f0fa35fa7a6bfe65133edc3f194c94cccb5d1cf9e597384", "occurrences": [ { "concept_id": "urn:uuid:d550361c-735c-491e-afba-556b6f658c73", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "zh-CN", "route": "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system", "anchor": "first-feb78058b2228986f547-zh", "chapter": "3", "section": "3.3", "offset": 7441, "range": [ 14815, 15126 ], "source_revision": "bf7bed127428e26ee378fb9b0fdf940a9534adebb0b55c3a053bcb959f95722e", "source_category": "translation", "review_status": "unreviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "塞曼效应(Zeeman effect)", "context": { "range": [ 14749, 15351 ], "quote": "这就是塞曼效应(Zeeman effect)；当原子置于磁场中时，该效应很容易从原子光谱中观察到。我们将在[第 7 章](../chapter-07/index#section-7)进一步考察这个例子，届时会看到 $\\mathbf R^3$ 的旋转群如何参与其中。之后，在[第 45 章](../chapter-45/index#section-45)，我们将从电磁场与自旋为 $\\frac{1}{2}$ 的粒子耦合的一般原理出发，推导出[哈密顿算符（3.6）](#equation-3-6)。", "quote_sha256": "bf375d8b27482525ca4ef99736566155376fdf99f272a49a9448aeb950055d61", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system", "lang": "en", "source_category": "original_transcription", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-e1c31515cf8b29302bb57986" }, { "concept_id": "urn:uuid:d550361c-735c-491e-afba-556b6f658c73", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "en", "route": "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system", "anchor": "first-feb78058b2228986f547-en", "chapter": "3", "section": "3.3", "offset": 7736, "range": [ 14353, 14658 ], "source_revision": "fa8dc6f1abe776e62ef8b602a476972f2cd33199732383a20aabeb58fb3bed8c", "source_category": "original_transcription", "review_status": "ai-transcription-compared", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "Zeeman effect", "context": { "range": [ 14278, 15093 ], "quote": "This is the Zeeman effect, which is readily visible in the spectra of atoms placed in a magnetic field. We examine this example in more detail in [chapter 7](../chapter-07/index#section-7), where the rotation group of $\\mathbf R^3$ enters the picture. Later, in [chapter 45](../chapter-45/index#section-45), we derive the [Hamiltonian 3.6](#equation-3-6) from general principles governing the coupling of electromagnetic fields to spin-$\\frac{1}{2}$ particles.", "quote_sha256": "a08b333fe88da3c501473350e32117dd787e912c7f04e85f7426d98b3e625b76", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system", "lang": "zh-CN", "source_category": "translation", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-74817b4153411bc46c389b04" }, { "concept_id": "urn:uuid:d550361c-735c-491e-afba-556b6f658c73", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "zh-CN", "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/02-the-spin-half-particle-in-a-magnetic-field", "anchor": "concept-7-zeeman-effect", "chapter": "7", "section": "7.2", "offset": 11493, "range": [ 21704, 21936 ], "source_revision": "af42ca8c868bc2cdc5dca3ef8a46b1cd266fae227aaba16f410d9185fd6d5068", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "塞曼效应(Zeeman effect)", "context": { "range": [ 21701, 22071 ], "quote": "- [塞曼效应(Zeeman effect)](../../../../../concepts/quantum-mechanics/zeeman-effect)：原子置于恒定磁场中时，能级会发生分裂。无磁场时，$\\mathcal H=\\mathbf C^2$ 中的两个态能量相同；上文的哈密顿量项使两个能级分别移动", "quote_sha256": "1016e9fdafaa820d3f32d4ac4fce5cd31cd89ab3b288b177ee92eed453250c8f", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/en/chapter-07/02-the-spin-half-particle-in-a-magnetic-field", "lang": "en", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-2a70c670ada7be7a62daf58a" }, { "concept_id": "urn:uuid:d550361c-735c-491e-afba-556b6f658c73", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "en", "route": "books/woit-qtgr/2025-10-20/en/chapter-07/02-the-spin-half-particle-in-a-magnetic-field", "anchor": "source-7-2-zeeman-effect", "chapter": "7", "section": "7.2", "offset": 13964, "range": [ 23285, 23482 ], "source_revision": "2f4e030ded93d226da1b050014630cb67a384fcab12bb0f30e051144b3d12eec", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "Zeeman effect", "context": { "range": [ 23278, 23746 ], "quote": "- The [Zeeman effect](../../../../../concepts/quantum-mechanics/zeeman-effect): an atom in a constant magnetic field has split energy levels. Without a magnetic field, the two states in $\\mathcal H=\\mathbf C^2$ have the same energy. The Hamiltonian term above shifts the two levels by", "quote_sha256": "c694709674b97c1f274950932f97a2b0779f32cf470d25bb41fd6733c510654f", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/02-the-spin-half-particle-in-a-magnetic-field", "lang": "zh-CN", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-3e7a5fe91842cf5c75072bcd" } ], "registered_positions": [ { "route": "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system", "lang": "en", "section": "3.3", "signal": "term-mark", "label": "Zeeman effect", "english": "Zeeman effect", "offset": 6156 }, { "route": "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system", "lang": "zh-CN", "section": "3.3", "signal": "term-mark", "label": "塞曼效应", "english": "Zeeman effect", "offset": 5532 }, { "route": "books/woit-qtgr/2025-10-20/en/chapter-07/02-the-spin-half-particle-in-a-magnetic-field", "lang": "en", "section": "7.2", "signal": "term-mark", "label": "Zeeman effect", "english": "Zeeman effect", "offset": 11414 }, { "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/02-the-spin-half-particle-in-a-magnetic-field", "lang": "zh-CN", "section": "7.2", "signal": "term-mark", "label": "塞曼效应", "english": "Zeeman effect", "offset": 8997 } ], "statements": [], "resolved_references": [ { "raw": "[第 7 章](../chapter-07/index#section-7)", "href": "../chapter-07/index#section-7", "range": [ 15157, 15195 ], "relation": "references", "target_route": "books/woit-qtgr/2025-10-20/zh/chapter-07/index", "target_anchor": "section-7", "resolved": true, "reason": null, "source_revision": "bf7bed127428e26ee378fb9b0fdf940a9534adebb0b55c3a053bcb959f95722e", "source_route": "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system", "occurrence_id": "occ-e1c31515cf8b29302bb57986" }, { "raw": "[第 45 章](../chapter-45/index#section-45)", "href": "../chapter-45/index#section-45", "range": [ 15240, 15280 ], "relation": "references", "target_route": "books/woit-qtgr/2025-10-20/zh/chapter-45/index", "target_anchor": "section-45", "resolved": true, "reason": null, "source_revision": "bf7bed127428e26ee378fb9b0fdf940a9534adebb0b55c3a053bcb959f95722e", "source_route": "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system", "occurrence_id": "occ-e1c31515cf8b29302bb57986" }, { "raw": "[哈密顿算符（3.6）](#equation-3-6)", "href": "#equation-3-6", "range": [ 15323, 15350 ], "relation": "references", "target_route": "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system", "target_anchor": "equation-3-6", "resolved": true, "reason": null, "source_revision": "bf7bed127428e26ee378fb9b0fdf940a9534adebb0b55c3a053bcb959f95722e", "source_route": "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system", "occurrence_id": "occ-e1c31515cf8b29302bb57986" }, { "raw": "[chapter 7](../chapter-07/index#section-7)", "href": "../chapter-07/index#section-7", "range": [ 14779, 14821 ], "relation": "references", "target_route": "books/woit-qtgr/2025-10-20/en/chapter-07/index", "target_anchor": "section-7", "resolved": true, "reason": null, "source_revision": "fa8dc6f1abe776e62ef8b602a476972f2cd33199732383a20aabeb58fb3bed8c", "source_route": "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system", "occurrence_id": "occ-74817b4153411bc46c389b04" }, { "raw": "[chapter 45](../chapter-45/index#section-45)", "href": "../chapter-45/index#section-45", "range": [ 14895, 14939 ], "relation": "references", "target_route": "books/woit-qtgr/2025-10-20/en/chapter-45/index", "target_anchor": "section-45", "resolved": true, "reason": null, "source_revision": "fa8dc6f1abe776e62ef8b602a476972f2cd33199732383a20aabeb58fb3bed8c", "source_route": "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system", "occurrence_id": "occ-74817b4153411bc46c389b04" }, { "raw": "[Hamiltonian 3.6](#equation-3-6)", "href": "#equation-3-6", "range": [ 14955, 14987 ], "relation": "references", "target_route": "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system", "target_anchor": "equation-3-6", "resolved": true, "reason": null, "source_revision": "fa8dc6f1abe776e62ef8b602a476972f2cd33199732383a20aabeb58fb3bed8c", "source_route": "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system", "occurrence_id": "occ-74817b4153411bc46c389b04" } ], "reading_order": [ "occ-e1c31515cf8b29302bb57986", "occ-74817b4153411bc46c389b04", "occ-2a70c670ada7be7a62daf58a", "occ-3e7a5fe91842cf5c75072bcd" ], "recorded_dependencies": [], "reading_paths": [], "coverage": { "registered_positions": 4, "located_occurrences": 4, "whole_book_search_complete": false, "registered_positions_truncated": false, "independent_human_review_implied": false }, "unresolved": [], "base_revision": "175e8b8c1a0151613dc68440066d12230d9b0905c2897ab7f0986094e234efc0", "optional_enrichments": [] }